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Finding the Fourth Proportional to 2,918.41, 4,027.24 and 1,659.28

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Solution

The fourth proportional to 2,918.41, 4,027.24 and 1,659.28 is: 2,289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.41 : 4,027.24 = 1,659.28 : x
  2. Step 2: Convert to fraction form
    2,918.41/4,027.24 = 1,659.28/x
  3. Step 3: Cross multiply
    2,918.41x = 4,027.24 × 1,659.28
  4. Step 4: Simplify right side
    2,918.41x = 6,682,324.71
  5. Step 5: Solve for x
    x = 6,682,324.71/2,918.41
  6. Step 6: Final answer
    x = 2,289.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.